Pith Number

pith:SGI2OXSL

pith:2013:SGI2OXSLY7PGYKQMQWY6BEZLCG

not attested not anchored not stored refs pending

Gaussian Quadrature of int_0^1 f(x) log^m(x) dx and int_(-1)^1 f(x) cos(pi*x/2) dx

Richard J. Mathar

arxiv:1303.5101 v1 · 2013-03-20 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGI2OXSLY7PGYKQMQWY6BEZLCG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:30:14.582326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9191a75e4bc7de6c2a0c85b1e0932b118ff39727c50f1823ac72a794c6d2f66a

Aliases

arxiv: 1303.5101 · arxiv_version: 1303.5101v1 · doi: 10.48550/arxiv.1303.5101 · pith_short_12: SGI2OXSLY7PG · pith_short_16: SGI2OXSLY7PGYKQM · pith_short_8: SGI2OXSL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SGI2OXSLY7PGYKQMQWY6BEZLCG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9191a75e4bc7de6c2a0c85b1e0932b118ff39727c50f1823ac72a794c6d2f66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19056befd3379453a2b98f94709b7a12c375e575cc4d9e6592f896ecc3b13fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-20T21:35:02Z",
    "title_canon_sha256": "06aa97acbc6db79fe9870bc2a5699f38e9dff3716dfc9d737f13388eff28f9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5101",
    "kind": "arxiv",
    "version": 1
  }
}